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2068976 = 24731329
BaseRepresentation
bin111111001000111110000
310220010002202
413321013300
51012201401
6112202332
723405000
oct7710760
93803082
102068976
1111934a8
128393a8
13575960
143bc000
152ad06b
hex1f91f0

2068976 has 80 divisors (see below), whose sum is σ = 5208000. Its totient is φ = 790272.

The previous prime is 2068973. The next prime is 2068991. The reversal of 2068976 is 6798602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2068973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71330 + ... + 71358.

It is an arithmetic number, because the mean of its divisors is an integer number (65100).

22068976 is an apocalyptic number.

2068976 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2068976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604000).

2068976 is an abundant number, since it is smaller than the sum of its proper divisors (3139024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2068976 is a wasteful number, since it uses less digits than its factorization.

2068976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 2068976 is about 1438.3935483726. The cubic root of 2068976 is about 127.4241712379.

The spelling of 2068976 in words is "two million, sixty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 49 52 56 58 91 98 104 112 116 182 196 203 208 232 343 364 377 392 406 464 637 686 728 754 784 812 1274 1372 1421 1456 1508 1624 2548 2639 2744 2842 3016 3248 4459 5096 5278 5488 5684 6032 8918 9947 10192 10556 11368 17836 18473 19894 21112 22736 35672 36946 39788 42224 71344 73892 79576 129311 147784 159152 258622 295568 517244 1034488 2068976